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SUMMARY:The Matrix Product of Coloured Symmetric Sequences
DTSTART:20220412T101500
DTEND:20220412T111500
DTSTAMP:20260428T042344Z
UID:98fcca3a439a75ea326ad5c690e8586cde13e3fcf40f64399a5763d9
CATEGORIES:Conferences - Seminars
DESCRIPTION:Nicola Gambino\, University of Leeds\nIn 2008\, Maia and Ménd
 ez defined the operation of arithmetic product of species of structures\, 
 extending the calculus of species of structures introduced by Joyal in the
  ‘80s. In 2014\, as part of their work on the Boardman-Vogt tensor produ
 ct of bimodules\, Dwyer and Hess rediscovered independently this operation
  and studied it in the context of symmetric sequences and named it matrix 
 multiplication.\n\nIn this talk\, based on joint work in progress with Ric
 hard Garner and Christina Vasilakopoulou\, we extend the matrix multiplica
 tion from symmetric sequences to coloured symmetric sequences and show tha
 t it determines an oplax monoidal structure on the the bicategory of colou
 red symmetric sequences. In order to do this\, we establish general result
 s on lifting monoidal structures to Kleisli double categories. This approa
 ch allows us to attack and solve the difficult problem of verifying the co
 herence conditions for a monoidal bicategory in an efficient way.
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CANCELLED
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